Research Article

Statistical Analysis of a Weibull Extension with Bathtub-Shaped Failure Rate Function

Table 3

95% confidence interval for in 1000 simulations by Wu’s exact.

Average Average Average Coverage
Lower limit Upper limit Interval width Probability

10 8 3 0.4016 2.6205 2.2189 0.956
4 0.3626 2.7726 2.4100 0.951
5 0.3293 3.3279 2.9986 0.961
9 3 0.4493 2.3191 1.8699 0.953
4 0.4183 2.3419 1.9237 0,951
5 0.4190 2.7233 2.3043 0.942

15 13 3 0.5218 2.0465 1.5247 0.951
4 0.5113 2.0149 1.5036 0.946
5 0.5113 2.0591 1.5478 0.945
14 3 0.5350 1.9170 1.3820 0.951
4 0.5267 1.8683 1.3415 0.956
5 0.5238 1.8768 1.3530 0.968

20 16 4 0.5443 1.9095 1.3652 0.951
5 0.5324 1.8901 1.3577 0.956
6 0.5350 1.9469 1.4120 0.954
7 0.5248 1.9774 1.4526 0.954
17 4 0.5576 1.8412 1.2836 0.955
5 0.5490 1.8199 1.2709 0.951
6 0.5599 1.8739 1.3140 0.953
7 0.5420 1.8670 1.3250 0.962
18 5 0.5759 1.7837 1.2078 0.945
6 0.5658 1.7607 1.1948 0.956
7 0.5673 1.7889 1.2216 0.943
8 0.5615 1.8075 1.2460 0.957

25 20 5 0.5833 1.7904 1.2071 0.951
6 0.5726 1.7644 1.1918 0.942
7 0.5838 1.8197 1.2359 0.951
8 0.5695 1.8198 1.2503 0.962
21 6 0.5934 1.7386 1.1452 0.944
7 0.5854 1.7279 1.1425 0.946
8 0.5749 1.7237 1.1488 0.950
9 0.5810 1.7754 1.1944 0.951
22 6 0.6034 1.6876 1.0842 0.951
7 0.5974 1.6753 1.0779 0.949
8 0.5910 1.6730 1.0820 0.949
9 0.5925 1.6984 1.1060 0.947

30 25 7 0.6201 1.6580 1.0378 0.952
8 0.6097 1.6447 1.0350 0.946
9 0.6080 1.6520 1.0439 0.950
10 0.6084 1.6730 1.0646 0.954
26 7 0.6301 1.6321 1.0020 0.944
8 0.6219 1.6100 0.9881 0.951
9 0.6193 1.6158 0.9965 0.946
10 0.6166 1.6181 1.0016 0.958
27 8 0.6389 1.5909 0.9520 0.945
9 0.6303 1.5768 0.9465 0.955
10 0.6324 1.5931 0.9607 0.948
11 0.6298 1.5955 0.9657 0.947